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Finding the Fourth Proportional to 9,540.82, 13,163.64 and 6,183.77

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Solution

The fourth proportional to 9,540.82, 13,163.64 and 6,183.77 is: 8,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.82 : 13,163.64 = 6,183.77 : x
  2. Step 2: Convert to fraction form
    9,540.82/13,163.64 = 6,183.77/x
  3. Step 3: Cross multiply
    9,540.82x = 13,163.64 × 6,183.77
  4. Step 4: Simplify right side
    9,540.82x = 81,400,931.84
  5. Step 5: Solve for x
    x = 81,400,931.84/9,540.82
  6. Step 6: Final answer
    x = 8,531.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.